IDEAS home Printed from https://ideas.repec.org/
MyIDEAS: Login to save this article or follow this journal

Choosing fair lotteries to defeat the competition

  • Liad Wagman

    ()

  • Vincent Conitzer

    ()

We study the following game: each agent i chooses a lottery over nonnegative numbers whose expectation is equal to his budget b_i. The agent with the highest realized outcome wins and agents only care about winning). This game is motivated by various real-world settings where agents each choose a gamble and the primary goal is to come out ahead. Such settings include patent races, stock market competitions, and R&D tournaments. We show that there is a unique symmetric equilibrium when budgets are equal. We proceed to study and solve extensions, including settings where agents must obtain a minimum outcome to win; where agents choose their budgets (at a cost); and where budgets are private information.

(This abstract was borrowed from another version of this item.)

If you experience problems downloading a file, check if you have the proper application to view it first. In case of further problems read the IDEAS help page. Note that these files are not on the IDEAS site. Please be patient as the files may be large.

File URL: http://hdl.handle.net/10.1007/s00182-011-0275-9
Download Restriction: Access to full text is restricted to subscribers.

As the access to this document is restricted, you may want to look for a different version under "Related research" (further below) or search for a different version of it.

Article provided by Springer in its journal International Journal of Game Theory.

Volume (Year): 41 (2012)
Issue (Month): 1 (February)
Pages: 91-129

as
in new window

Handle: RePEc:spr:jogath:v:41:y:2012:i:1:p:91-129
Contact details of provider: Web page: http://link.springer.de/link/service/journals/00182/index.htm

Order Information: Web: http://link.springer.de/orders.htm

References listed on IDEAS
Please report citation or reference errors to , or , if you are the registered author of the cited work, log in to your RePEc Author Service profile, click on "citations" and make appropriate adjustments.:

as in new window
  1. Nancy Gallini & Suzanne Scotchmer, 2003. "Intellectual Property: When is it the Best Incentive System?," Levine's Working Paper Archive 618897000000000532, David K. Levine.
  2. Kovenock, D. & de Vries, C.G., 1995. "The All-Pay Auction with Complete Information," UFAE and IAE Working Papers 311.95, Unitat de Fonaments de l'Anàlisi Econòmica (UAB) and Institut d'Anàlisi Econòmica (CSIC).
  3. Nancy T. Gallini, 1992. "Patent Policy and Costly Imitation," RAND Journal of Economics, The RAND Corporation, vol. 23(1), pages 52-63, Spring.
  4. Uwe Dulleck & Paul Frijters & Konrad Podczeck, 2006. "All-pay auctions with budget constraints and fair insurance," Economics working papers 2006-13, Department of Economics, Johannes Kepler University Linz, Austria.
  5. Skaperdas, Stergios, 1996. "Contest Success Functions," Economic Theory, Springer, vol. 7(2), pages 283-90, February.
  6. Tor Klette & David de Meza, 1986. "Is the Market Biased Against Risky R&D?," RAND Journal of Economics, The RAND Corporation, vol. 17(1), pages 133-139, Spring.
  7. Sudipto Bhattacharya and Dilip Mookherhee., 1984. "Portfolio Choice in Research and Development," Research Program in Finance Working Papers 147, University of California at Berkeley.
  8. Cabral, Luis, 1994. "Bias in market R&D portfolios," International Journal of Industrial Organization, Elsevier, vol. 12(4), pages 533-547, December.
  9. Cabral, L., 2000. "Increasing Dominance with No Efficiency Effect," New York University, Leonard N. Stern School Finance Department Working Paper Seires 00-06, New York University, Leonard N. Stern School of Business-.
  10. Vincenzo Denicol�, 2000. "Two-Stage Patent Races and Patent Policy," RAND Journal of Economics, The RAND Corporation, vol. 31(3), pages 450-487, Autumn.
  11. Luís M. B. Cabral, 2003. "R&D Competition when firms Choose Variance," Journal of Economics & Management Strategy, Wiley Blackwell, vol. 12(1), pages 139-150, 03.
  12. Axel Anderson & Luís M. B. Cabral, 2007. "Go for broke or play it safe? Dynamic competition with choice of variance," RAND Journal of Economics, RAND Corporation, vol. 38(3), pages 593-609, 09.
  13. Kenneth L. Judd, 1985. "Closed-Loop Equilibrium in a Multi-Stage Innovation Race," Discussion Papers 647, Northwestern University, Center for Mathematical Studies in Economics and Management Science.
  14. Laffont, Jean-Jacques & Robert, Jacques, 1996. "Optimal auction with financially constrained buyers," Economics Letters, Elsevier, vol. 52(2), pages 181-186, August.
  15. Richard Gilbert & Carl Shapiro, 1990. "Optimal Patent Length and Breadth," RAND Journal of Economics, The RAND Corporation, vol. 21(1), pages 106-112, Spring.
  16. Vincenzo Denicol�, 2000. "Two-Stage Patent Races and Patent Policy," RAND Journal of Economics, The RAND Corporation, vol. 31(3), pages 488-501, Autumn.
  17. Brian Roberson, 2006. "The Colonel Blotto game," Economic Theory, Springer, vol. 29(1), pages 1-24, September.
  18. Ron Siegel, 2009. "All-Pay Contests," Econometrica, Econometric Society, vol. 77(1), pages 71-92, 01.
  19. Kyle Bagwell & Robert W. Staiger, 1990. "Risky R&D in Oligopolistic Product Markets," Discussion Papers 872, Northwestern University, Center for Mathematical Studies in Economics and Management Science.
  20. Richard J. Rosen, 1991. "Research and Development with Asymmetric Firm Sizes," RAND Journal of Economics, The RAND Corporation, vol. 22(3), pages 411-429, Autumn.
  21. van Dijk, Theon, 1996. "Patent Height and Competition in Product Improvements," Journal of Industrial Economics, Wiley Blackwell, vol. 44(2), pages 151-67, June.
  22. Baye, Michael R. & Hoppe, Heidrun C., 2003. "The strategic equivalence of rent-seeking, innovation, and patent-race games," Games and Economic Behavior, Elsevier, vol. 44(2), pages 217-226, August.
Full references (including those not matched with items on IDEAS)

This item is not listed on Wikipedia, on a reading list or among the top items on IDEAS.

When requesting a correction, please mention this item's handle: RePEc:spr:jogath:v:41:y:2012:i:1:p:91-129. See general information about how to correct material in RePEc.

For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: (Guenther Eichhorn)

or (Christopher F Baum)

If you have authored this item and are not yet registered with RePEc, we encourage you to do it here. This allows to link your profile to this item. It also allows you to accept potential citations to this item that we are uncertain about.

If references are entirely missing, you can add them using this form.

If the full references list an item that is present in RePEc, but the system did not link to it, you can help with this form.

If you know of missing items citing this one, you can help us creating those links by adding the relevant references in the same way as above, for each refering item. If you are a registered author of this item, you may also want to check the "citations" tab in your profile, as there may be some citations waiting for confirmation.

Please note that corrections may take a couple of weeks to filter through the various RePEc services.

This information is provided to you by IDEAS at the Research Division of the Federal Reserve Bank of St. Louis using RePEc data.